TY - JOUR T1 - Rotation number and its properties for iterated function and non-autonomous systems   TT - عدد چرخش و ویژگی‌های آن در سیستم‌های توابع تکرار شونده و غیرخودگردان JF - khu-mmr JO - khu-mmr VL - 3 IS - 3 UR - http://mmr.khu.ac.ir/article-1-2598-en.html Y1 - 2017 SP - 129 EP - 146 KW - Rotation number KW - rotation entropy KW - rotation shadowing KW - lift function KW - nonautonomous systems N2 - The main purpose of this paper is to introduce the rotation number for non-autonomous and iterated function systems. First, we define iterated function systems and the lift of these types of systems on the unit circle. In the following, we define the rotation number and investigate the conditions of existence and uniqueness of this number for our systems. Then, the notions rotational entropy and rotational shadowing have been considered and some basic properties of these notions in the iterated function and non-autonomous systems have been investigated../files/site1/files/0Abstract5.pdf M3 10.29252/mmr.3.2.129 ER -